332294676480 has 896 divisors, whose sum is σ = 1317822307200. Its totient is φ = 78875983872.

The previous prime is 332294676463. The next prime is 332294676517. The reversal of 332294676480 is 84676492233.

332294676480 is a `hidden beast` number, since 3 + 3 + 2 + 2 + 94 + 6 + 76 + 480 = 666.

It is a super-2 number, since 2×332294676480² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 416931442 + ... + 416932238.

It is an arithmetic number, because the mean of its divisors is an integer number (1470783825).

Almost surely, 2^332294676480 is an apocalyptic number.

332294676480 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 332294676480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658911153600).

332294676480 is an abundant number, since it is smaller than the sum of its proper divisors (985527630720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

332294676480 is a wasteful number, since it uses less digits than its factorization.

332294676480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 879 (or 849 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 54.

The spelling of 332294676480 in words is "three hundred thirty-two billion, two hundred ninety-four million, six hundred seventy-six thousand, four hundred eighty".